The volume v of a gas at a constant temperature varies inversely with the pressure p. when the volume is 100 cubic inches the pressure is 25 pounds per square inch. what is the pressure when the volume is 125 cubic inches

The pressure is

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

In this problem we have

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For ,

step 1

Find the value of k

substitute the values of V and P

The equation is equal to  

step 2

Find the pressure when the volume is 125 cubic inches

For

substitute in the equation and solve for P

The distance: d = v * t
d = v * 4 + 5 * ( v + 4 )
191 = 4 v + 5 v + 20
9 v = 191 - 20
9 v = 171
v = 171 : 9
v = 19 mph ( the speed heading south )
Therefore the speed heading west:  v + 4 = 19 + 4 = 23 mph
The ship was traveling west at 23 miles per hour.